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Methods for exact perturbation analysis

Miller, D, Morgan, Byron J. T., Ridout, Martin S., Carey, P.D., Rothery, P. (2011) Methods for exact perturbation analysis. Methods in Ecology and Evolution, 2 (3). pp. 283-288. ISSN 2041-210X. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:33006)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)

Abstract

1. The dominant eigenvalue of the population projection matrix provides the asymptotic growth

affect this growth rate. The standard approach to evaluating the effect of a perturbation uses sensi-

2. A transfer function approach provides the exact relationship between growth rate and perturba-

characteristic equation in terms of the perturbation parameters and the asymptotic growth rate.

algebra approach.

same method may be used for any perturbation structure, however complicated, including pertur-

4. The simplicity of the direct approach is illustrated through two examples, the killer whale and

5. Synthesis and applications. In this paper we describe three different methods for exact perturba-

encourage wider use of this analysis in the future.

Item Type: Article
Uncontrolled keywords: asymptotic growth rate, characteristic equation, elasticity, Maple, numerical method, population, projection matrix, sensitivity, symbolic algebra, transfer function
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Q Science > QH Natural history > QH541 Ecology
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Byron Morgan
Date Deposited: 17 Jan 2013 17:20 UTC
Last Modified: 16 Feb 2021 12:44 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/33006 (The current URI for this page, for reference purposes)
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